{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from itertools import chain\n",
    "\n",
    "from tqdm import trange\n",
    "import numpy as np\n",
    "from scipy import linalg\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set(style=\"white\")\n",
    "random_seed = 123"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def generate_data(num_mode, except_num, radius=2,\n",
    "                  center=(0, 0), sigma=0.1, num_data_per_class=100000):\n",
    "    total_data = {}\n",
    "    \n",
    "    t = np.linspace(0, 2*np.pi, 13)\n",
    "    x = np.cos(t)*radius + center[0]\n",
    "    y = np.sin(t)*radius + center[1]\n",
    "\n",
    "    plt.figure()\n",
    "    plt.plot(x,y)\n",
    "\n",
    "    modes = np.vstack([x, y]).T\n",
    "\n",
    "    for idx, mode in enumerate(modes[except_num:]):\n",
    "        x = np.random.normal(mode[0], sigma, num_data_per_class)\n",
    "        y = np.random.normal(mode[1], sigma, num_data_per_class)\n",
    "        total_data[idx] = np.vstack([x, y]).T\n",
    "        \n",
    "        plt.plot(x, y)\n",
    "\n",
    "    all_points = np.vstack([values for values in total_data.values()])\n",
    "    data_x, data_y = all_points[:,0], all_points[:,1]\n",
    "    \n",
    "    return total_data, all_points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KJA4NJXFoaL/laysuwRAQwNDbfua8nJxy523O16e9+x8Uvay+IwRAdJgfj902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\n/wGg6dMb/enhUe6BenSjR9rjrQguQFx2FuxmUFIQj97SnxFpoR3m8Y0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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b915be190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VEB8VSHxUILMnHm0pW21Oymq7W7ml39zvLaluZWt2NVuzqz3HGQ06hsUG9Si+KXHBhASe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\n+YMtZGf2AY4WHudo4XF2Ze/ngeG34+/i0+YxGeU57M87yg3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tNU7oivmj7mN0aM/tVFSy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\nIAiCmYiQFQRBEAQzESErCIIgCGby/+BeSDMWTnMPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b915d6810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NZ4GAXB6Xl0svMNULC91u4LzzUvPe8fL7k7OOhJJi1iy7WxAbVS0pHKckMTU0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\n8XqlsMuRI9a2oaREkrR0nb1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cqWbOZO+XKAsx+FpFrf9ds0bKVDrRrbfGttQoEDAyku2W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\nRGQxBl8iIiKLMfgSERFZ7P8DDnnFOyD+pv8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8d2c9890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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LyVZD5yHc/tZ9UpcxoDKDHQ+cd0e/m3GwvIA//GMHXvvkiASVDe7u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\nMXyJiIgExvAlIiIS2P8B1COgo7wJQioAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b894d4cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A_data_with_class, A_data = generate_data(13, 3, radius=2, center=(-2, -2))\n",
    "B_data_with_class, B_data = generate_data(13, 3, radius=2, center=(2, 2))\n",
    "\n",
    "A_train_np, A_test_np = train_test_split(A_data, test_size=0.33, random_state=random_seed)\n",
    "B_train_np, B_test_np = train_test_split(B_data, test_size=0.33, random_state=random_seed)\n",
    "\n",
    "def plot(data, color):\n",
    "    plt.plot(data[:,0], data[:,1], color)\n",
    "\n",
    "plt.figure()\n",
    "#sns.kdeplot(data_x, data_y)\n",
    "plot(A_data, 'r.')\n",
    "plot(B_data, 'b.')\n",
    "\n",
    "def plot_with_class(data_with_class):\n",
    "    for key, value in data_with_class.items():\n",
    "        plot(value, '.')\n",
    "\n",
    "plt.figure()\n",
    "plot_with_class(A_data_with_class)\n",
    "plot_with_class(B_data_with_class)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "from torch import nn\n",
    "import torch.nn.functional as F\n",
    "from torch.autograd import Variable\n",
    "from torch.utils.data import TensorDataset, DataLoader\n",
    "\n",
    "\n",
    "class ListModule(nn.Module):\n",
    "    def __init__(self, *args):\n",
    "        super(ListModule, self).__init__()\n",
    "        idx = 0\n",
    "        for module in args:\n",
    "            self.add_module(str(idx), module)\n",
    "            idx += 1\n",
    "\n",
    "    def __getitem__(self, idx):\n",
    "        if idx < 0 or idx >= len(self._modules):\n",
    "            raise IndexError('index {} is out of range'.format(idx))\n",
    "        it = iter(self._modules.values())\n",
    "        for i in range(idx):\n",
    "            next(it)\n",
    "        return next(it)\n",
    "\n",
    "    def __iter__(self):\n",
    "        return iter(self._modules.values())\n",
    "\n",
    "    def __len__(self):\n",
    "        return len(self._modules)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# dataset loader\n",
    "batch_size = 200\n",
    "shuffle = False\n",
    "\n",
    "A_train, A_test = torch.from_numpy(A_train_np).float(), torch.from_numpy(A_test_np).float()\n",
    "B_train, B_test = torch.from_numpy(B_train_np).float(), torch.from_numpy(B_test_np).float()\n",
    "\n",
    "A_train_loader = DataLoader(\n",
    "    TensorDataset(A_train, A_train), batch_size=batch_size, shuffle=shuffle)\n",
    "A_test_loader = DataLoader(\n",
    "    TensorDataset(A_test, A_test), batch_size=batch_size, shuffle=shuffle)\n",
    "\n",
    "B_train_loader = DataLoader(\n",
    "    TensorDataset(B_train, B_train), batch_size=batch_size, shuffle=shuffle)\n",
    "B_test_loader = DataLoader(\n",
    "    TensorDataset(B_test, B_test), batch_size=batch_size, shuffle=shuffle)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variable containing:\n",
      " 200\n",
      "[torch.cuda.FloatTensor of size 1 (GPU 0)]\n",
      "\n",
      "Variable containing:\n",
      " 0\n",
      "[torch.cuda.FloatTensor of size 1 (GPU 0)]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "class Generator(nn.Module):\n",
    "    def __init__(self, input_size, output_size, hidden_dims):\n",
    "        super(Generator, self).__init__()\n",
    "        self.layers = []\n",
    "        \n",
    "        prev_dim = input_size\n",
    "        for hidden_dim in hidden_dims:\n",
    "            self.layers.append(nn.Linear(prev_dim, hidden_dim))\n",
    "            self.layers.append(nn.ReLU(True))\n",
    "            prev_dim = hidden_dim\n",
    "        self.layers.append(nn.Linear(prev_dim, output_size))\n",
    "        \n",
    "        self.layer_module = ListModule(*self.layers)\n",
    "        \n",
    "    def forward(self, x):\n",
    "        out = x\n",
    "        for layer in self.layers:\n",
    "            out = layer(out)\n",
    "        return out\n",
    "\n",
    "class Discriminator(nn.Module):\n",
    "    def __init__(self, input_size, output_size, hidden_dims):\n",
    "        super(Discriminator, self).__init__()\n",
    "        self.layers = []\n",
    "        \n",
    "        prev_dim = input_size\n",
    "        for idx, hidden_dim in enumerate(hidden_dims):\n",
    "            self.layers.append(nn.Linear(prev_dim, hidden_dim))\n",
    "            self.layers.append(nn.ReLU(True))\n",
    "            prev_dim = hidden_dim\n",
    "            \n",
    "        self.layers.append(nn.Linear(prev_dim, output_size))\n",
    "        self.layers.append(nn.Sigmoid())\n",
    "        \n",
    "        self.layer_module = ListModule(*self.layers)\n",
    "\n",
    "    def forward(self, x):\n",
    "        out = x\n",
    "        for layer in self.layers:\n",
    "            out = layer(out)\n",
    "        return out.view(-1, 1)\n",
    "\n",
    "# network\n",
    "hidden_dim = 128\n",
    "g_num_layer = 3\n",
    "d_num_layer = 5\n",
    "\n",
    "G_AB = Generator(2, 2, [hidden_dim] * g_num_layer)\n",
    "G_BA = Generator(2, 2, [hidden_dim] * g_num_layer)\n",
    "\n",
    "D_A = Discriminator(2, 1, [hidden_dim] * d_num_layer)\n",
    "D_B = Discriminator(2, 1, [hidden_dim] * d_num_layer)\n",
    "\n",
    "G_AB.cuda()\n",
    "G_BA.cuda()\n",
    "D_A.cuda()\n",
    "D_B.cuda()\n",
    "\n",
    "# optimizer\n",
    "lr = 0.0002\n",
    "beta1 = 0.5\n",
    "beta2 = 0.999\n",
    "\n",
    "d = nn.MSELoss()\n",
    "bce = nn.BCELoss()\n",
    "\n",
    "optimizer_d = torch.optim.Adam(\n",
    "    chain(D_A.parameters(), D_B.parameters()), lr=lr, betas=(beta1, beta2))\n",
    "optimizer_g = torch.optim.Adam(\n",
    "    chain(G_AB.parameters(), G_BA.parameters()), lr=lr, betas=(beta1, beta2))\n",
    "\n",
    "# training\n",
    "num_epoch = 50000\n",
    "\n",
    "real_label = 1\n",
    "fake_label = 0\n",
    "\n",
    "real_tensor = Variable(torch.FloatTensor(batch_size).cuda())\n",
    "_ = real_tensor.data.fill_(real_label)\n",
    "print real_tensor.sum()\n",
    "\n",
    "fake_tensor = Variable(torch.FloatTensor(batch_size).cuda())\n",
    "_ = fake_tensor.data.fill_(fake_label)\n",
    "print fake_tensor.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/50000 [00:00<?, ?it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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2o95yJ48f0q10jFpEw5aQqFdwQD2saDDwclvQUsesJOKKEnYZBYuAczjfGV1w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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b915be2d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ct9bPA0lYGyRfBuhNN+upbjYj6lUDC/GakW4m8RIcesTLSrospqP0tkjlXgtJ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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b91146650>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  5%|▍         | 2497/50000 [00:34<10:13, 77.40it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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FTq4rLjcvbITS1LNjepnAv/wW5+gij6k5ht/0THvEu5Jk6IdP0DEdZexNZ5Pq8+MoiXxL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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b882f32d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/zpNPPskjjzzC5z73OT796U+7vW1CFQpLBxYwfAHufdlbiK0t8FjGx2t+8IVi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\nWXFC5+gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b90f26910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 10%|█         | 5000/50000 [01:07<09:41, 77.35it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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LSYCOyFEW+4bRPJnWkqrHyzd+fx/vPO0M3DYX0RkeL7Oje+gb20ff+AHaR3sx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\no2lPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8bb9c8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NEBn3FpFvj3BbaOW0n3Ntu8ZRVhKjjGVXWQoPEjVKDJa9u3jUd89SFIV/mHgu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\nEGlmEa8zRL59hv3F9ToNDZ1HwdAfqejqObxKagZ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96nut3HLRERm6iKmmspDWoJu2glnx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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b90188550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 15%|█▍        | 7496/50000 [01:41<09:13, 76.75it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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JOI5YDIeWJO5uWrNjkpJKsjs+nt3ScD2GiHeTSFeEu/nQW7gpn4XGQ5d8PR4P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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b903397d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/0BHxmorK1VNPMb5ykftedieGFqB3xVnT27c8S9/SzJZCK6/FK8IV/MKPaap6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\nd7NhwwZaWlrYvXs3P/3pT/M9LMO9/vrruN1ufvWrX3HmzBl27tzJyy+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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8fae4d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 20%|█▉        | 9998/50000 [02:14<08:35, 77.58it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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Gz+vNf7BUCnQt7+5YqUSc6eEDbFNVEj2D2TW9mfPUm3jtlq7czOqbjSzdfIiI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\n2sMAoHVijMt+/W22HDtUcK1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Ky3O+i4uLfPKTn+Tss8+2czx1S60XXh1qHmRi+YYQCXfw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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8feaff90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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16qmfenQpPMal8BgzxXVMwC/9bgSijFasv3ciu8Ls+jwLY3M9zecdlHi9kq6c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\nzBB/djIxw6yKxamKxuh1Z9/Gw+UrZ8V92xk6dZiy+vMMDS8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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b903c1410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 25%|██▍       | 12499/50000 [02:48<08:05, 77.23it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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R+RqMLvO8LUa9RWzk8ebT675+Rj7MzEQKezpF1ulaJ96somCv2IN37ZtZyCng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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b7ef41550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ayuyvvuYdDaubvRCvW+mKcIVqdpJ0GyEy7i8i3z7httCqneYa9QgYRX7x8ePM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\nwnyA/QfiBMNpkhdWic4eYPIKKqLUdCc1m9g3wq2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WAGcY7h/18eGcGpRxs9/o9okWR0nC\nUrNW7CE///Lhm9SEIpuKzAwO4jVru8FFOnUOB+6ui/xl3rLYY/aQP7bvc29HDfvv3aDyrQht+Ice\nSghrdHtHe/l/xkX5oXE3PLDhH3oYk6UbW8n/YrbcSFiKVkLllFm+wihniP71zG35NiEiKws2c0Ms\nvAAmkz12nvdLdTOxZPDvIR/CK9EtLDnH9/nnn1djHCKPGLk5B6SO8PzGUiIzlrEl6bDFTLAiEmfF\nHvnP2T17bIn0Q6DEF2TUYUUxm/lwTg3Vg16+8HlkllTiD1HiCzJcknjQy2RJVc2b088Y7aPGP7bM\n3Guv4Not8xkY+j+qgmN/Hsn2ZNbKLU4nf4n7+CtOb2zf55rhXmpv9HC9emZWz53+zkCJ+ycHlE4G\ngmO7TDXW+LCZk+2xXE04PJdguA8LFQTDfQDYbA0Ew32MBk/f/DoFxeTFbk79NskF9S5g8nPvar6P\nV8JbXGTmK1LScotKyD7CkP6mDfFmNSQeQK92D9HvctLYPxybEUdnyVOlxp19onrtFbFzrEFM/OzW\nlTz1yYmE8IJ+4QXoLo/MLqM/Z0/QTm9ZDTXDvfSW1dBTUZvR8+R64/lky8CpmEz22Ptw7ZSNPQeZ\nPcdU3rcr4RW5kPiKtLSaBUP6pWiYWoRh8hDDWAhu1JYzcnMJe5bFnHRv6VylinOyKNf4b2AN37zn\nLmHmjnbR4BuY8HV63d82CPy1rC7hZwhY7ey/dwO1N3roqahNu+Sca3DjxS8Dx7/dR43nyGaTDLVv\nCSjhLU4SX5ERo2bBkHiwUyvE8cvVkDoWekX5eshNp7M6dh/dT8pnEcQU2+wiSq+bS1iBO5xero57\nPGC1p11qVjO68eJntNnKdCk5FS3uwyvhLV4SX5ExrWfBkD7CkNlsGCbOaDKZFSczWUzUinPtDDf/\nUfdEbFZZ0dExIbxaCwMhxg4Kq/98nP33fp8RZ/o/A62Cm0quWzpOVabRBX3CK9GdHiS+YsqynQWD\n+hGGyUMMyQ/Y2QY5XrrwTDXM8bNK2+zZ9HbcPL9aWk3VqAdLWJnkGXJjIvGA4PIN8b0//IK9y59M\nusSsRnT1DmmmphJc0O+uRBLe6UPiK7KSzSwYph5hUD/EUakO/GpEGZLHKdMgx59ftYYCfPfMG6qM\nKR0FCGPCEjfjrvQNJlzVnEtw8zW0MPXYRul5K0AJ7/Qi8RU5yWYWDJlHGDKfDcPEg+hUYhyVLhK5\nhnkq55ajM2Fb0M9ASSVVo56cXnsyyW6c11tSTU9FbdbRzbfgZhvZ8aYaXZDwikQSX5GzbGfBkF2E\nIbMQgzoxjqdVmNPNkgNWO6/ds57v/WE/lb7ELSej7/sd/2v8ftbJjP96gN7SaqxKiErv2E5R55at\npXHG1G4gn8/nZHOVTXRBwismkvgK1egVYcguxJD6QJ1rlEH9ZezEIJfz7vJmVpzcl/A1phS/DtlK\ncQVGkj7v+RlfZuH1CwlfD3DuvrUMVtbx92/9jPLhATyVdfTVzsporGoGV8+YZiLb4IJsFSlSk/gK\n1ekZYcg+xPH0jnI2Qe6rnYWnso5KT/eEzykmM+a4C7JcgRGGnBWUeyMz5ZDJjCWsMFjh5tLfPsiX\njn6MRQnFZr4eV2TDjKDNzm8e2UTlQBeeqnqCttS3Msw1uPkW2ahcYhsldyQSk5H4Cs1kez4YEg9e\n2YYYso9xlFZRzibIQZuDk6ufwt1zjUWnj1E52IPHVcu7Sx5iuLSSFSf3UjYSWTIOmcz8afEqlr0T\nuQlK7Eppk4mQzc6pB75L2VA/12fOo2zEw9+cPsqKk/vwVNZxcvVT9NYl33oxl+DmY2zVCG08ia7I\nlMRXaCqXWXBUNrPhqGQH11yDDOlDkm2YMwly0Oaga8YXObnm6Qmz09P3fTu2LG0JK/idpQy6anAN\n9sa+3zXYm7CsfPm2u3D6R2JfU+nppnKgKyG+hRpctcOajhrRBQlvMZH4Cl2oGWHILsRRWgU5Kllw\n1AxyhJOPxy0Jxy9LR8/Xti95OOE88YiznPLhyLaV0dB6qupj3zfqrqf+ttnU2lMvN09Gq+DqGdNM\nqBVckOgWI4mv0JUaEYaJB75cYgypD+xqRVmL5euJYXby6fefwdnTibe2kVvtDsy1Tkbfraekrwuf\nq5pLj/4jtx3ZR0lfF15XNY2zG6gtdyV8n5JFeNUMbr5FNp6awY2S8BYnia8wRPwBJ9cQg3qz4vHS\nhUCr5etcgqzYHYzMnJPw8Ufrf5gQ1ovrnmLBgZ04B/uZf+hVPlr/wwnfl824s1FsoY0n0S1uEl9h\nOLVmw1Fqz4pT0Wq2rHWQ7YP9OAYj9+Ut6evC2dM5aXine2y1Dm08ia4Aia/II2rPhqOSHVi1CjJo\nc055svhNJc7e2kZG3ZGl6FF3Pd7asbsFaXG+1ujg6hnWdCS6Ip7EV+QltWfD46U6IBfaLDlqatEs\nYfifWvF1XSdYP4Mmh7o7UukV23yJ6mQkuiIZia/Ia1rNhlPJhyireeV1Sg4nwaYvqPJUWse2UCIb\nT4IrJiPxFQVD7xDH0zPKWs+Sc6VlbAsxtFESXDEVEl9RkMYf6PSOcVQ+RBm0CbMey8eFHFuQ4Irs\nSXzFtJAvMY7Kh4u88lEhx1ZCK9Qk8RXTUrIDZT4GGbSNstEKMbYSWaEHia8oGvkYZNB/lqylQoit\nxFXkA4mvKGqFFGTIryjna2glrqIQSHyFGCfVwTufoxylRZzzMbISWFHoJL5CZCifoxyVj6HMlYRW\nTEcSXyFyVAhRLhQSWlEsJL5CaCRfzyfnE4mtKFYSXyF0VOyzZImtEBESXyHywHSdJUtshUhO4itE\nniq0WbKEVojMSXyFKDCZRE6LQEtchVBPVvE9cuQIO3bsYPbs2QDcc889PP3006oOTAiRPQmlEPkt\n65nvypUraW1tVXMsQgghRFEwGz0AIYQQothkHd/29nY2btzIhg0buHDhgppjEkIIIaa1SZed29ra\naGtrS3hs1apVbNq0ieXLl3Pu3DlaW1s5fvy4ZoMUQgghppNJ49vc3Exzc3PKz99111309fURCoWw\nWCyqDk4IIYSYjrJadt6zZw8nTpwA4OLFi7jdbgmvEEIIkaGsrnZes2YNzz33HAcPHiQYDPKTn/xE\n7XEJIYQQ01ZW8W1sbOS1115TeyxCCCFEUZC3GgkhhBA6k/gKIYQQOpP4CiGEEDqT+AohhBA6k/gK\nIYQQOpP4CiGEEDqT+AohhBA6k/gKIYQQOpP4CiGEEDqT+AohhBA6k/gKIYQQOpP4CiGEEDqT+Aoh\nhBA6k/gKIYQQOpP4CiGEEDqT+AohhBA6s+rxIqFQCIDOzk49Xk4IIYQwVLR30f6Np0t8u7u7AXjs\nscf0eDkhhBAiL3R3dzNnzpwJj5vC4XBY6xf3er2cP3+euro6LBaL1i8nhBBCGCoUCtHd3c3ChQtx\nOp0TPq9LfIUQQggxRi64EkIIIXQm8RVCCCF0JvEVQgghdCbxFUIIIXRWlPE9cuQI999/P+vXr2f9\n+vXs3r3b6CHpqqenh0WLFnHmzBmjh6KL3t5ennzySdavX09LSwvvvfee0UPSRTAYpLW1le985zs8\n+uijnD171ugh6aa9vZ0lS5bw+9//3uihaG779u2sW7eOlpYW3n//faOHo6uLFy+yYsUKXn/9CoxE\nzAAAA5ZJREFUdaOHMmW6vM83H61cuZLW1lajh2GIF154gaamJqOHoZtjx47x8MMPs2bNGtrb29mx\nYwf79u0zeliaO3r0KCUlJbzxxht88sknbNmyhTfffNPoYWmuo6ODn//859x9991GD0Vz7e3tXLly\nhUOHDnHp0iW2bt3KoUOHjB6WLkZGRvjxj3/MkiVLjB5KVopy5lvMTp8+TVlZGfPnzzd6KLp54okn\nWLNmDQDXr1+noaHB4BHp46GHHmLLli0AuN1uBgYGDB6RPurq6nj55ZepqKgweiiaO336NCtWrADg\n1ltvxePxMDQ0ZPCo9GG329mzZw/19fVGDyUrRRvf9vZ2Nm7cyIYNG7hw4YLRw9GF3+9n165dPPvs\ns0YPRXfd3d1861vfYvfu3TzzzDNGD0cXNpsNh8MBwP79+1m9erXBI9JHSUlJ0Wzm09PTQ3V1dexj\nt9sd21FwurNarUk3rygU037Zua2tjba2toTHVq1axaZNm1i+fDnnzp2jtbWV48ePGzRCbST7uZct\nW0ZzczMul8ugUWkv2c+9adMm7rvvPn75y1/yzjvvsGXLlmm37Jzu5z5w4AAffPABr776qkGj0066\nn7sYyZ5JhUN2uAKWLl3KqVOnpv3flltaWlAUBYicF3O73ezYsYN58+YZPDJttbe3c/vtt1NZWQnA\n4sWLi+Zis7a2Nn7729/yyiuvxGbBxWLz5s08+OCDPPDAA0YPRTM7d+6krq6OlpYWAL7xjW9w9OhR\nysvLDR6Zfnbu3El1dTWPP/640UOZkqJcdt6zZw8nTpwAIlfLud3uaR9egIMHD3L48GEOHz7M8uXL\n2bZt27QPL8Dvfvc7fvWrXwHw8ccfM2PGDINHpI+rV69y8OBBXn755aILb7FYunQpJ0+eBOCDDz6g\nvr6+qMJbyIpy5tvZ2clzzz1HOBwmGAyydetWvvrVrxo9LF1t3ryZtWvXsnjxYqOHorm+vj42b97M\n8PAwfr+fH/3oR9x5551GD0tzL730Em+99RYzZ86MPbZ3717sdruBo9Le22+/zd69e/n0009xu93U\n1dVNu9MM8V588UXOnj2LyWRi27ZtLFiwwOgh6eL8+fP89Kc/5dq1a1itVhoaGti5cydVVVVGDy0j\nRRlfIYQQwkhFuewshBBCGEniK4QQQuhM4iuEEELoTOIrhBBC6EziK4QQQuhM4iuEEELoTOIrhBBC\n6EziK4QQQujs/wHzYehBdiMeFAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b90120050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 30%|██▉       | 14999/50000 [03:23<07:41, 75.89it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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tEu+xpRh9/gCZTGZNFzP/1DjL4S4ynqIlAgGH00k4sYxrdN+qTlYNF28Do125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\nEhERCcb4EhERCcb4EhERCcb4EhERCfb/513j3uTdk64AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b89503b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NNaZnWu/t65V4B1W6coHcWQyKbDth61jlu9ZfRL4dshOjXqCuY9Tl8AiXwyPs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\njQ6yNxxky/HfMjfUwzBOPERocxZQGZl6JmeWmsHOpPjOGex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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8f588310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 35%|███▌      | 17500/50000 [03:56<06:59, 77.53it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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pnTrBbLAT18oc33afjz8c/BOP370fFPO/KqrbQ2CwEyWdIJAuXl9dKuo1Rbx1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\ny88PnrmTwbEwP3jOPhaDmRW/pvwePnnRSbQtxnC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jaGgo/vXg4CC83iwzDbI0U5clAZoi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\nKHjfcmtmXxcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8f37dd90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7i36RbTts3Vc51nqLyLdNdmrUC7Udo2YjQ8xGhthXWKnM9w2qxeSqFmNwI+Ie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\nhMkkvkIIIYTJ/h/tXGNWZ5P59QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8f4e90d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 40%|███▉      | 19999/50000 [04:30<06:25, 77.72it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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2VrwFpFeXL+odaoMyxVXQeOIV6Qr5bBTpFkNEbC8iX5uxZJzXoqgXMl2tdicn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\nL3cClTgJy7WlLHbx6B4Olp0jW6moCTIS1lsklY9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cUvDQt7dQ6QsCAJYEZMDuSHmKOWo+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\n+BIREQnG+BIREQnG+BIREQn2/+OA+FNb+fGZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8f86ef10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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edqUrwhUq2U7SrYfIuLuIfLtEu4VWzZprVFLdMWqIs6EBxnPLvrWWtAAVWNEi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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8d316f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 45%|████▍     | 22497/50000 [05:03<05:51, 78.18it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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JRM1reeshXpGuUMhGkW4xRMTWIvK1GFPmeU2MenM4ydCaSdK6pY3pkTBKRsun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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8f37dcd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4BTs9Hh+rtr500lCjgtfiFeEKfuHHMFWn55T9ZfBxJd+XvOQlvOQlL/F4UwYf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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8f176ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 50%|████▉     | 24996/50000 [05:36<05:24, 77.08it/s]"
     ]
    },
    {
     "data": {
      "image/png": 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3tnRqafamJnGxscFGs4lXpCsUslmkWwwRsbmIfE3GkHleE6LehM1JqlC8BXOv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\nHxouIr7xYobOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8f37d050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AOjbUUMCLoSSpwipax+/iDpqiMF629wGu7WrVLup1S7w7sVJZZLtz6DaLJsfA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\nugjuSgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b8ebf1d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 52%|█████▏    | 25754/50000 [05:47<05:14, 77.12it/s]"
     ]
    }
   ],
   "source": [
    "max_iteration = 50000\n",
    "idx = 0\n",
    "\n",
    "A_loader, B_loader = iter(A_train_loader), iter(B_train_loader)\n",
    "\n",
    "for idx in trange(max_iteration):\n",
    "    try:\n",
    "        x_A, x_B = A_loader.next()[0], B_loader.next()[0]\n",
    "    except StopIteration:\n",
    "        A_loader, B_loader = iter(A_train_loader), iter(B_train_loader)\n",
    "        x_A, x_B = A_loader.next()[0], B_loader.next()[0]\n",
    "\n",
    "    x_A, x_B = Variable(x_A.cuda()), Variable(x_B.cuda())\n",
    "    batch_size = x_A.size(0)\n",
    "\n",
    "    real_tensor.data.resize_(batch_size).fill_(real_label)\n",
    "    fake_tensor.data.resize_(batch_size).fill_(fake_label)\n",
    "\n",
    "    # update D network\n",
    "    D_A.zero_grad()\n",
    "    D_B.zero_grad()\n",
    "\n",
    "    x_AB = G_AB(x_A).detach()\n",
    "    x_BA = G_BA(x_B).detach()\n",
    "\n",
    "    x_ABA = G_BA(x_AB).detach()\n",
    "    x_BAB = G_AB(x_BA).detach()\n",
    "\n",
    "    l_d_A_real, l_d_A_fake = bce(D_A(x_A), real_tensor), bce(D_A(x_BA), fake_tensor)\n",
    "    l_d_B_real, l_d_B_fake = bce(D_B(x_B), real_tensor), bce(D_B(x_AB), fake_tensor)\n",
    "\n",
    "    l_d_A = l_d_A_real + l_d_A_fake\n",
    "    l_d_B = l_d_B_real + l_d_B_fake\n",
    "\n",
    "    l_d = l_d_A + l_d_B\n",
    "\n",
    "    l_d.backward()\n",
    "    optimizer_d.step()\n",
    "\n",
    "    # update G network\n",
    "    G_AB.zero_grad()\n",
    "    G_BA.zero_grad()\n",
    "\n",
    "    x_AB = G_AB(x_A)\n",
    "    x_BA = G_BA(x_B)\n",
    "\n",
    "    x_ABA = G_BA(x_AB)\n",
    "    x_BAB = G_AB(x_BA)\n",
    "\n",
    "    l_const_A = d(x_ABA, x_A)\n",
    "    l_const_B = d(x_BAB, x_B)\n",
    "\n",
    "    l_gan_A = bce(D_A(x_BA), real_tensor)\n",
    "    l_gan_B = bce(D_B(x_AB), real_tensor)\n",
    "\n",
    "    l_g = l_gan_A + l_gan_B + l_const_A + l_const_B\n",
    "\n",
    "    l_g.backward()\n",
    "    optimizer_g.step()\n",
    "\n",
    "    if idx % (max_iteration/20) == 0:\n",
    "        #print(\"[{}/{}] Loss_D: {:.4f} Loss_G: {:.4f}\". \\\n",
    "        #      format(idx, max_iteration, l_d.data[0], l_g.data[0]))\n",
    "\n",
    "        #print(\"[{}/{}] l_d_A_real: {:.4f} l_d_A_fake: {:.4f}, l_d_B_real: {:.4f}, l_d_B_fake: {:.4f}\". \\\n",
    "        #      format(idx, max_iteration, l_d_A_real.data[0], l_d_A_fake.data[0],  \n",
    "        #             l_d_B_real.data[0], l_d_B_fake.data[0]))\n",
    "\n",
    "        #print(\"[{}/{}] l_const_A: {:.4f} l_const_B: {:.4f}, l_gan_A: {:.4f}, l_gan_B: {:.4f}\". \\\n",
    "        #      format(idx, max_iteration, l_const_A.data[0], l_const_B.data[0],  \n",
    "        #             l_gan_A.data[0], l_gan_B.data[0]))\n",
    "\n",
    "        plt.figure()\n",
    "        ax = sns.kdeplot(B_test_np[:1000],\n",
    "                         cmap=\"Reds\", shade=True, shade_lowest=False)\n",
    "\n",
    "        plot(B_test_np[:1000], 'k.')\n",
    "        for key, value in A_data_with_class.items():\n",
    "            data = torch.from_numpy(value[:1000]).float()\n",
    "            pred = G_AB(Variable(data).cuda()).data.cpu().numpy()\n",
    "            plot(pred, '.')\n",
    "\n",
    "        plt.figure()\n",
    "        ax = sns.kdeplot(A_test_np[:1000],\n",
    "                         cmap=\"Blues\", shade=True, shade_lowest=False)\n",
    "        \n",
    "        plot(A_test_np[:1000], 'k.')\n",
    "        for key, value in B_data_with_class.items():\n",
    "            data = torch.from_numpy(value[:1000]).float()\n",
    "            pred = G_BA(Variable(data).cuda()).data.cpu().numpy()\n",
    "            plot(pred, '.')\n",
    "    \n",
    "        #ax = sns.kdeplot(G_AB(Variable(A_test[:1000]).cuda()).data.cpu().numpy(),\n",
    "        #     cmap=\"Reds\", shade=True, shade_lowest=False)\n",
    "        #ax = sns.kdeplot(G_BA(Variable(B_test[:1000]).cuda()).data.cpu().numpy(),\n",
    "        #                 cmap=\"Blues\", shade=True, shade_lowest=False)\n",
    "\n",
    "        plt.show()\n",
    "        plt.pause(0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Variable(torch.FloatTensor(batch_size)).cuda()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
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